Advice please

My bf of 5 years asked for a break 3 weeks ago. He asked me to not contact him. Because my bday just passed and thanksgiving we did message on those days only. I hurt him and I’ve been going to therapy. I’ve learned what mistakes I made and how to address them. After it’s been a month apart I want to msg him to say everything I’ve reflected on as a check in so he knows I’ve been working on myself. He asked me to continue therapy. I want to let him know what I’ve learned/reflected on. I’d love a reconciliation and to restart our relationship stronger than ever but I know to not get my hopes up. Is this a good idea? Should I message after a month?